SOLUTION: The tens digit of a three digit number is three times the units digit and the units digit is one fourth the hundreds digit. If the sum of the three digit is 16, what is three digit

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The tens digit of a three digit number is three times the units digit and the units digit is one fourth the hundreds digit. If the sum of the three digit is 16, what is three digit      Log On


   



Question 827203: The tens digit of a three digit number is three times the units digit and the units digit is one fourth the hundreds digit. If the sum of the three digit is 16, what is three digit number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let h = the hundreds digit\
let t = the tens digit
let u = the units
:
Write an equation for each statement:
:
The tens digit of a three digit number is three times the units digit
t = 3u
and
the units digit is one fourth the hundreds digit.
u = .25h
or
h = 4u
If the sum of the three digit is 16,
h + t + u = 16
Replace t and h
3u + 4u + u = 16
8u = 16
u =16/8
u = 2
I'll let you find t and h, confirm that the 3 digits add up to 16

what is three digit number